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Simplifying 7(x + 2) + -5(x + 3) = 3 Reorder the terms: 7(2 + x) + -5(x + 3) = 3 (2 * 7 + x * 7) + -5(x + 3) = 3 (14 + 7x) + -5(x + 3) = 3 Reorder the terms: 14 + 7x + -5(3 + x) = 3 14 + 7x + (3 * -5 + x * -5) = 3 14 + 7x + (-15 + -5x) = 3 Reorder the terms: 14 + -15 + 7x + -5x = 3 Combine like terms: 14 + -15 = -1 -1 + 7x + -5x = 3 Combine like terms: 7x + -5x = 2x -1 + 2x = 3 Solving -1 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 3 + 1 2x = 3 + 1 Combine like terms: 3 + 1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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